26505379440 has 360 divisors, whose sum is σ = 95178573360. Its totient is φ = 6779566080.

The previous prime is 26505379387. The next prime is 26505379441. The reversal of 26505379440 is 4497350562.

26505379440 is a `hidden beast` number, since 26 + 5 + 0 + 537 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26505379441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 234560824 + ... + 234560936.

It is an arithmetic number, because the mean of its divisors is an integer number (264384926).

Almost surely, 2^26505379440 is an apocalyptic number.

26505379440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26505379440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47589286680).

26505379440 is an abundant number, since it is smaller than the sum of its proper divisors (68673193920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26505379440 is a wasteful number, since it uses less digits than its factorization.

26505379440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 26505379440 in words is "twenty-six billion, five hundred five million, three hundred seventy-nine thousand, four hundred forty".